Pair of Linear ...

Which of the following equations is not equivalent to 5x + 4y = 9?

Which of the following pairs of equations represents parallel lines?

Under which of the following circumstances does a pair of linear equations have no common solution?

If 13y = 36 - 2x and 2y = 69 - 13x, find the value of 2x + 3y.

What will be the point of intersection of x + y = 3 and 2x - 3y = 16?

If a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 represent a pair of linear equations, which of the following expressions represents the value of x?

Which of the following values of x and y represent the solution of the pair of equations 3x + 4y = 7 and x + 5y = 6?

Which of the following options would you use to eliminate x from the given system of equations?

x + 6y = 13 - - - - - (i)
3x + 4y = 11 - - - --(ii)

Which of the following values of x and y represent the solution of the pair of equations 4x + 4y = 8 and 3x + 6y = 9?

The sum of the ages of two persons is 52 years and the difference between their ages is 26 years. What are their ages?

Half the difference of two numbers is 6 and the average of the numbers is 16. Find the numbers.

The sum of two numbers is 1. If 3 times the second number is added to the first number, the result equals 9. What are the two numbers?

The sum of a two-digit number and the number obtained by reversing its digits is 99. If the digits differ by 3, what is the product of the digits?

One of the acute angles of a right-angled triangle measures x and the measure of the other acute angle is y (in degrees). If one of them measures 6° more than thrice the other angle, then which of the following are the correct equations?

Which of the following pairs of equations represents the reduced form of the equations and ?